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2006, Volume 6, Issue 1: 151-167. Doi: 10.3934/dcdsb.2006.6.151
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Traveling waves in compressible elastic rods

  • 1.

    Department of Mathematics, Lund University, PO Box 118, 22100 Lund

Received:  July 31, 2004
Revised:  August 31, 2005
Published:  December 2005
Abstract Related Papers Cited by
    Abstract
  • We determine all weak traveling wave solutions of a model for nonlinear dispersive waves in cylindrical compressible hyperelastic rods. Besides the previously known smooth, peaked, and cusped solutions, the equation is shown to admit compactons, stumpons, and fractal-like waves.
    Mathematics Subject Classification: Primary: 37N15, 74B20, 35Q72.

    Citation:
    shu

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